Question

Given ΔABC is similar to ΔPQRΔABCisΔPQR. Where AB=1cm and PQ =3 cm .Find the ratio of their areas.

• A. $\frac{1}{9}$
• B. $\frac{1}{8}$
• C. $\frac{8}{9}$
• D. $\frac{9}{1}$

Answer 1

The correct option is A $\frac{1}{9}$

$\frac{AB}{PQ}=\frac{1}{3}$

$\frac{ar\Delta ABC}{ar\Delta PQR}={\left(\frac{AB}{PQ}\right)}^2={\left(\frac{1}{3}\right)}^2=\frac{1}{9}$.